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Finding the Third Proportional to 1,817,590 and 3,823,211

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Solution

The third proportional to 1,817,590 and 3,823,211 is: 8,041,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,590 : 3,823,211 = 3,823,211 : x
  2. Step 2: Convert to fraction form
    1,817,590/3,823,211 = 3,823,211/x
  3. Step 3: Cross multiply
    1,817,590x = 3,823,211 × 3,823,211
  4. Step 4: Simplify right side
    1,817,590x = 14,616,942,350,521
  5. Step 5: Solve for x
    x = 14,616,942,350,521/1,817,590
  6. Step 6: Final answer
    x = 8,041,935.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.